VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Real forms of the complex Neumann system : a method for finding real roots of polynomial Us([lambda])
    Novak, Tina, 1977- ; Žerovnik, Janez, 1958-
    The topology of Arnold-Liouville level sets of the real forms of the complex generic Neumann system depends indirectly on the positions of the roots of the special polynomial Us ([lambda]). For ... certain polynomials, the existence and positions of the real roots, according to the suitable parameters of the system, is not obvious. In the paper, a method for checking the existence and positions of the real roots of the polynomials Us ([lambda]) is given. The method and algorithm are based on searching of a positive solution of a system of linear equations. In case [eta]=2 , we provide a complete solution to the problem of existence of real roots for all special polynomials and determine the topology of the Arnold-Liouville level sets.
    Vrsta gradiva - članek, sestavni del
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 45201667